{
  "id": "1111.5317",
  "version": "v1",
  "published": "2011-11-22T20:40:30.000Z",
  "updated": "2011-11-22T20:40:30.000Z",
  "title": "Polynomial functors and categorifications of Fock space",
  "authors": [
    "Jiuzu Hong",
    "Antoine Touzé",
    "Oded Yacobi"
  ],
  "comment": "23 pages",
  "categories": [
    "math.RT",
    "math.CT"
  ],
  "abstract": "Fix an infinite field $k$ of characteristic $p$, and let $\\g$ be the Kac-Moody algebra $\\mathfrak{sl}_{\\infty}$ if $p=0$ and $\\hat{\\mathfrak{sl}}_p$ otherwise. Let $\\PP$ denote the category of strict polynomial functors defined over $k$. We describe a $\\g$-action on $\\PP$ (in the sense of Chuang and Rouquier) categorifying the Fock space representation of $\\g$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-22T20:40:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "categorifications",
      "fock space representation",
      "strict polynomial functors",
      "infinite field",
      "kac-moody algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.5317H"
    }
  }
}